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While making pastries, a bakery used 1/4 of a bag of wheat flour and 7 3/8 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.

Question

While making pastries, a bakery used 1/4 of a bag of wheat flour and 7 3/8 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.

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Solution

To solve this problem, we need to add the fractions representing the bags of wheat flour and white flour used.

First, let's convert the mixed number 7 3/8 to an improper fraction.

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator.

So, for 7 3/8, we multiply 7 (the whole number) by 8 (the denominator) and add 3 (the numerator).

7 * 8 = 56 56 + 3 = 59

So, 7 3/8 = 59/8 as an improper fraction.

Now, we can add the fractions:

1/4 (wheat flour) + 59/8 (white flour)

But first, we need to make the denominators the same. The least common denominator of 4 and 8 is 8.

So, we convert 1/4 to 2/8.

Now, we can add the fractions:

2/8 (wheat flour) + 59/8 (white flour) = 61/8

61/8 is an improper fraction. To convert it back to a mixed number, we divide the numerator by the denominator.

61 ÷ 8 = 7 remainder 5

So, 61/8 = 7 5/8

Therefore, the bakery used 7 5/8 bags of flour in all.

This problem has been solved

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